Energy scaling law for a singularly perturbed four-gradient problem in helimagnetism
J Ginster, B Zwicknagl - Journal of Nonlinear Science, 2023 - Springer
We study pattern formation in magnetic compounds near the helimagnetic/ferromagnetic
transition point in case of Dirichlet boundary conditions on the spin field. The energy …
transition point in case of Dirichlet boundary conditions on the spin field. The energy …
Microstructures in a two-dimensional frustrated spin system: Scaling regimes and a discrete-to-continuum limit
J Ginster, M Koser, B Zwicknagl - arXiv preprint arXiv:2406.08339, 2024 - arxiv.org
We study pattern formation within the $ J_1 $-$ J_3 $-spin model on a two-dimensional
square lattice in the case of incompatible (ferromagnetic) boundary conditions on the spin …
square lattice in the case of incompatible (ferromagnetic) boundary conditions on the spin …
On singularly-perturbed variational problems for pattern formation in helimagnets and martensites
M Koser - 2024 - edoc.hu-berlin.de
In dieser Arbeit werden variationelle Modelle für Mikrostrukturen in speziellen Materialien
untersucht, um die Strukturformation zu verstehen und Eigenschaften von Grundzuständen …
untersucht, um die Strukturformation zu verstehen und Eigenschaften von Grundzuständen …
A game-theoretic approach to spin models
R Semeria - 2024 - webthesis.biblio.polito.it
Monte Carlo algorithms, such as the Metropolis-Hastings one, are commonly used to
simulate Ising spin systems. This thesis explores an alternative approach by applying the …
simulate Ising spin systems. This thesis explores an alternative approach by applying the …